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  1. The side of a rhombus is 25 m, and one of its diagonal is 30 meters. What is its area?

    2. A.
    400 sq. m.
    B.
    450 sq. m.
    C.
    500 sq. m.
    D.
    600 sq. m.

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    Answer : Option D

    Explanation :

    Diagonal of a rhombus bisect and divide each other equally.

    So, half of the given diagonal = 15 m.

    Let the half of the other diagonal = X

    So, as per the Pythagoras theorem: 152 + X2 = 252

                                      225 + X2 = 625

                                      X2 = 625 - 225

                                      X2 = 400

                                      X = 20

    So, the length of the other diagonal is double of X: 20 + 20 = 40 m.

    Now, Area of a rhombus = 1/2 * (product of diagonals)

                                 = 1/2 * 30 * 40
                                 = 600 sq. m.

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